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21742422 = 23131719863
BaseRepresentation
bin101001011110…
…0001101010110
31111220121222220
41102330031112
521031224142
62054003210
7352543662
oct122741526
944817886
1021742422
1111300449
127346506
134673550
142c5d8a2
151d972ec
hex14bc356

21742422 has 64 divisors (see below), whose sum is σ = 52254720. Its totient is φ = 5958144.

The previous prime is 21742411. The next prime is 21742447. The reversal of 21742422 is 22424712.

It is a junction number, because it is equal to n+sod(n) for n = 21742392 and 21742401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24763 + ... + 25625.

It is an arithmetic number, because the mean of its divisors is an integer number (816480).

Almost surely, 221742422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21742422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26127360).

21742422 is an abundant number, since it is smaller than the sum of its proper divisors (30512298).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21742422 is a wasteful number, since it uses less digits than its factorization.

21742422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917.

The product of its digits is 1792, while the sum is 24.

The square root of 21742422 is about 4662.8770088863. The cubic root of 21742422 is about 279.1060862483.

The spelling of 21742422 in words is "twenty-one million, seven hundred forty-two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 13 17 19 26 34 38 39 51 57 78 102 114 221 247 323 442 494 646 663 741 863 969 1326 1482 1726 1938 2589 4199 5178 8398 11219 12597 14671 16397 22438 25194 29342 32794 33657 44013 49191 67314 88026 98382 190723 213161 278749 381446 426322 557498 572169 639483 836247 1144338 1278966 1672494 3623737 7247474 10871211 21742422